868132080 has 120 divisors (see below), whose sum is σ = 3023525232. Its totient is φ = 231496704.

The previous prime is 868132063. The next prime is 868132099. The reversal of 868132080 is 80231868.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889 + ... + 41768.

Almost surely, 2^868132080 is an apocalyptic number.

868132080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511762616).

868132080 is an abundant number, since it is smaller than the sum of its proper divisors (2155393152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

868132080 is a wasteful number, since it uses less digits than its factorization.

868132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44685 (or 44667 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 868132080 is about 29464.0811837057. The cubic root of 868132080 is about 953.9565661963.

The spelling of 868132080 in words is "eight hundred sixty-eight million, one hundred thirty-two thousand, eighty".